Calculate Rectangle Area: 8-Unit Width and 2-Unit Height Problem

Question

Look at the rectangle below.

What is the area of the rectangle ABCD?

00:00 Determine the area of the rectangle ABCD

00:03 Opposite sides are equal in the rectangle

00:09 The line intersects the side according to the given data

00:16 The entire side equals the sum of its parts

00:22 Apply the formula for calculating the area of the rectangle

00:25 Side(AB) multiplied by side(BC)

00:28 Insert the relevant values into the formula and solve to find the area

00:31 This is the solution

Given that in a rectangle every pair of opposite sides are equal, we can claim that:

$AB=DC=8$

and also:

$BE=EC=2$

In other words, BC equals 4

Now we can find the area of the rectangle by multiplying the length by the width:

$AB\times BC=8\times4=32$

32 cm²